Question

How do you rewrite the exponential expression as a radical expression `b^(- 4/7)`?

Answer 1

There are two laws of indices involved. A negative index indicates a fraction (the reciprocal with a positive index) and a fractional index means there is a power and a root.

Explanation:

Let's deal with the negative in the index first. This simply means that the base is in the denominator and the index is positive:

`b^(-6/7) = 1/b^(6/7)`

The numerator of a fractional index is a power,
the denominator of a fractional index is a root.

This gives us `1/(7sqrtb^6)`